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Finding the Fourth Proportional to 1,317, 1,817.64 and 851.16

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Solution

The fourth proportional to 1,317, 1,817.64 and 851.16 is: 1,174.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,317 : 1,817.64 = 851.16 : x
  2. Step 2: Convert to fraction form
    1,317/1,817.64 = 851.16/x
  3. Step 3: Cross multiply
    1,317x = 1,817.64 × 851.16
  4. Step 4: Simplify right side
    1,317x = 1,547,102.46
  5. Step 5: Solve for x
    x = 1,547,102.46/1,317
  6. Step 6: Final answer
    x = 1,174.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.